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lidiya [134]
3 years ago
9

joel is laying pipe for a sprinkler system before he plants his lawn . the lawn is a rectangle, 15 feet long and 8 feet wide. he

needs to lay piece of pipe that will run along the diagonal of the lawn. it will divide the area of the lawn into two right triangles. what will be the length of the pipe
Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

The length of the pipe = 17 feet

Step-by-step explanation:

length = 15 feet

width = 8 feet

Pythagorean theorem,

(diagonal)² = (length)² +(width)²            {all angles of rectangle are 90°}

                   = 15² + 8²

                   = 225 + 64  = 289

diagonal    = √289 = √ 17 * 17

                   = 17 feet

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HELP QUICK!!
MA_775_DIABLO [31]

Answer:

5

Step-by-step explanation:

The clothing store already sold $300 .

They need to sell x jeans to get to $500.

$500 - $300

$200

They’re $200 short of their goal.

A pair of jeans cost $40

Therefore x40 = $200

x = 200/40

x = 5

So ,they need to sell 5 pairs of jeans to hit their $500 target

5 0
3 years ago
Please help i need
Anon25 [30]

The measure of centre includes mean median and mode and the measure of variability includes range, interquartile range and mean absolute deviation.

<h3>what is measure centre and measure of variation? </h3>

A measure of central tendency (measure of centre) is a value that attempts to describe a set of data by identifying the central position of the data set.

The measure of central tendency includes the mean, median and mode.

The measure of variation describes the amount of variability or spread in a set of data.

The common  measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.

Therefore, the measure of centre includes mean median and mode and the measure of variability includes range, interquartile range and mean absolute deviation.

learn more on measure of centre and variation here: brainly.com/question/23769503

#SPJ1

7 0
2 years ago
Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
Assoli18 [71]

Step-by-step explanation:

Rate of growth equals 420/100 = 4.2 times per hour

So after t=three hours,

size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,

round to nearest unit 7409 bacteria after three hours (after initial size of 100).

8 0
3 years ago
Read 2 more answers
The value of a car decreases about 7% percent each year after it is manufactured.The 2017 Honda Civic costs $19,540
Kitty [74]

Answer: a) , where 'A' is the value of car after 't' years.


b) $12446.784



Step-by-step explanation:


Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.


Then a function that models the value of the car will be


, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.


Thus after substituting given value, the function becomes




To find the value after 3 years, substitute t=3 in the above function.




Hence the value of car after 3 years=$12446.784



5 0
3 years ago
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